How to write the quadratic equation whose roots are 1 and -5 and whose leading coefficient is 3?

King Waters

King Waters

Answered question

2023-01-07

How to write the quadratic equation whose roots are 1 and -5 and whose leading coefficient is 3?

Answer & Explanation

Alana Walsh

Alana Walsh

Beginner2023-01-08Added 7 answers

If the roots are 1 and -5, then (assuming we want a quadratic in x) the quadratic has linear factors (x-1) and (x+5).Then in order to get a leading coefficient 3, just multiply the whole expression by 30=3(x1)(x+5)=3(x2+4x5)=3x2+12x15So the required equation is:3x2+12x15=0

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